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自动化学报 2006
基于主方向构造二分树复数小波的新方法, PP. 47-53 Keywords: Complexwavelet,maindirection,Daubechiescomplexwavelet,dualtreecomplexwavelet,imageenhancement Abstract: ？Theconceptionof“maindirection”ofmulti-dimensionalwaveletisestablishedinthispaper,andthecapabilitiesofseveralclassicalcomplexwaveletsforrepresentingdirectionalsingularitiesareinvestigatedbasedontheirmaindirections.Itisprovedtobeimpossibletorepresentdirectionalsingularitiesoptimallybyamulti-resolutionanalysis(MRA)ofL2(R2).Basedontheaboveresults,anewalgorithmtoconstructQ-shiftdualtreecomplexwaveletisproposed.Byoptimizingthemaindirectionofparameterizedwaveletfilters,thedifficultyinchoosingstop-bandfrequencyisovercomeandtheperformancesofthedesignedwaveletareimprovedtoo.Furthermore,resultsofimageenhancementbyvariousmulti-scalemethodsaregiven,whichshowthatthenewdesignedQ-shiftcomplexwaveletdooffersignificantimprovementovertheconventionallyusedwavelets.Directionsensitivityisanimportantindextotheperformanceof2Dwavelets.
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